### Curve Fitting This is data from an experiment designed to estimate a spring constant $ k $. **Experiment Details:** - The mass, measured in grams, is added to a spring, and the resulting displacement is measured in millimeters. **Formulas:** - Force-displacement relationship: $ F = k \times \delta $ - Spring constant calculation: $ k = \frac{m \times g}{\delta} $ Where: - $ F $ is the force applied to the spring. - $ \delta $ is the displacement in millimeters. - $ m $ is the mass in grams. - $ g $ is the gravitational acceleration. **Data Table:** | $ m $ (g) | 5.00 | 10.00 | 20.00 | 50.00 | 100.00 | |--------------|------|-------|-------|-------|--------| | $ \delta $ (mm) | 15.5 | 33.07 | 53.39 | 140.24 | 301.03 | **Objective:** - Fit a straight line to the data and determine the Spring Constant $ k $. The data presents how displacement varies with different masses added to the spring. The aim is to use this linear relationship to calculate the spring constant.

### Curve Fitting This is data from an experiment designed to estimate a spring constant $ k $. Experiment Details: - The mass, measured in grams, is added to a spring, and the resulting displacement is measured in millimeters. Formulas: - Force-displacement relationship: $ F = k \times \delta $ - Spring constant calculation: $ k = \frac{m \times g}{\delta} $ Where: - $ F $ is the force applied to the spring. - $ \delta $ is the displacement in millimeters. - $ m $ is the mass in grams. - $ g $ is the gravitational acceleration. Data Table: | $ m $ (g) | 5.00 | 10.00 | 20.00 | 50.00 | 100.00 | |--------------|------|-------|-------|-------|--------| | $ \delta $ (mm) | 15.5 | 33.07 | 53.39 | 140.24 | 301.03 | Objective: - Fit a straight line to the data and determine the Spring Constant $ k $. The data presents how displacement varies with different masses added to the spring. The aim is to use this linear relationship to calculate the spring constant.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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